What can MD police see when they run your license plate number?

The car I drive is not registered in my name, but rather my fathers name. I am listed no where on the registration, not even as a co-owner.

If I have been arrested on a felony charge driving this car in the past, (last week for example, so no guilty/innocent result in court), could they see the car was affiliated with that felony arrest simply based off the license plate number?

Thank you.